Turbulent mass transfer with a first-order chemical reaction on a wall at pr ⪢ 1

Effects of a reacting channel wall on turbulent mass transfer

“…3. The computed values of the stabilized K + are in good agreement with Kader and Gukhman's analytical results [6] for the asymptotic case of infinitely fast reaction and high Sc. For Sc = 10.0, Eq.…”

“…The problem presented here and the problem reported by Kader and Gukhman [6] are similar. In both of them, the reactants diffuse from a turbulent fluid flow to a long, flat, and smooth wall, and react with the wall by a firstorder reaction.…”

“…(7) gives K + = 0.00305, while the computed K + value is 0.003. The ratio of the Sherwood number at any position along the length of the channel, Sh, divided by the Sherwood number at the stabilized condition, Sh 0 , and how that compares to the results of Kader and Gukhman [6] (Eq. (8)) is shown in Fig.…”

“…By approximating the tensor components of the eddy diffusivity by the first term of the corresponding Taylor power expansion, Kader and Gukhman [6] have developed an expression for the mass transfer from a turbulent fluid flow to a long, smooth, and flat wall with the presence of a first-order reaction and obtained expressions of K + for the case of Sc ) 1 and infinitely fast reaction rate (i.e. k ?…”

“…Previous efforts to investigate the effects of a chemical reaction on turbulent mass transfer include the work of Kader and Gukhman [6], who developed an analytical solution for the mass transfer from a turbulent fluid flow to a long, smooth, and flat wall with a first-order reaction using a boundary-layer approximation. Hanna et al [7] employed a large Schmidt number asymptotic approximation procedure to derive an analytical solution for the mass transfer from the wall accompanied by a first-order chemical reaction for liquids in fully developed turbulent flow in a circular tube.…”